Topology optimization using multiscale finite element method for high-contrast media

Boyan S. Lazarov

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    The focus of this paper is on the applicability of multiscale finite element coarse spaces for reducing the computational burden in topology optimization. The coarse spaces are obtained by solving a set of local eigenvalue problems on overlapping patches covering the computational domain. The approach is relatively easy for parallelization, due to the complete independence of the subproblems, and ensures contrast independent convergence of the iterative state problem solvers. Several modifications for reducing the computational cost in connection to topology optimization are discussed in details. The method is exemplified in minimum compliance designs for linear elasticity.

    Original languageEnglish
    Title of host publicationLarge-Scale Scientific Computing - 9th International Conference, LSSC 2013, Revised Selected Papers
    PublisherSpringer Nature
    Pages339-346
    Number of pages8
    Volume8353 LNCS
    ISBN (Print)9783662438794
    DOIs
    Publication statusPublished - 2014
    Event9th International Conference on Large-Scale Scientific Computations, LSSC 2013 - Sozopol, Bulgaria
    Duration: 3 Jun 20137 Jun 2013

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume8353 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference9th International Conference on Large-Scale Scientific Computations, LSSC 2013
    Country/TerritoryBulgaria
    CitySozopol
    Period3/06/137/06/13

    Keywords

    • High contrast media
    • Multiscale finite element method
    • Topology optimization

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